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Article

Faithful Tropicalization and Skeleton of M¯0,n

1
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria
2
Westlake Institute for Advanced Study, Institute for Theoretical Sciences, Westlake University, Hangzhou 310030, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(13), 2082; https://doi.org/10.3390/math13132082
Submission received: 23 May 2025 / Revised: 10 June 2025 / Accepted: 18 June 2025 / Published: 24 June 2025
(This article belongs to the Section A: Algebra and Logic)

Abstract

We propose a new method to compare between the essential skeleton of Berkovich analytification of (M¯0,n,M¯0,nM0,n) and faithful tropicalization of M0,n over a complete discrete valued field. In particular, we proved the two combinatorial structures are the same in terms of valuation in M¯0,nan.
Keywords: essential skeleton; Berkovich space; valuation; log regular scheme; tropicalization; moduli space essential skeleton; Berkovich space; valuation; log regular scheme; tropicalization; moduli space

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MDPI and ACS Style

Xu, J.; Zhang, M. Faithful Tropicalization and Skeleton of M¯0,n. Mathematics 2025, 13, 2082. https://doi.org/10.3390/math13132082

AMA Style

Xu J, Zhang M. Faithful Tropicalization and Skeleton of M¯0,n. Mathematics. 2025; 13(13):2082. https://doi.org/10.3390/math13132082

Chicago/Turabian Style

Xu, Jiachang, and Muyuan Zhang. 2025. "Faithful Tropicalization and Skeleton of M¯0,n" Mathematics 13, no. 13: 2082. https://doi.org/10.3390/math13132082

APA Style

Xu, J., & Zhang, M. (2025). Faithful Tropicalization and Skeleton of M¯0,n. Mathematics, 13(13), 2082. https://doi.org/10.3390/math13132082

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